Construction of singular limits for four-dimensional elliptic problems with exponentially dominated nonlinearity

DOI10.1016/j.bulsci.2006.11.002zbMath1126.35023OpenAlexW2043073479MaRDI QIDQ2463628

Imen Bazarbacha, Sami Baraket, Nihed Trabelsi

Publication date: 14 December 2007

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2006.11.002

zbMATH Keywords

critical Sobolev exponentbiharmonic operatornonlinear elliptic problems\(Q\)-curvaturenon-minimal solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (9)

Blow up solutions for a 4-dimensional Emden-Fowler system of Liouville type ⋮ Singular limit solutions for a 4-dimensional semilinear elliptic system of Liouville type ⋮ Singular limits solution for two-dimensional elliptic problems involving exponential nonlinearities with nonlinear gradient terms and singular weights ⋮ Singular limit solutions for a \(4\)-dimensional Emden-Fowler system of Liouville type in some general case ⋮ Singular limit solutions for a four‐dimensional semilinear elliptic Kuramoto–Sivashinsky system in some general case ⋮ Unnamed Item ⋮ SINGULAR LIMITS FOR 2-DIMENSIONAL ELLIPTIC PROBLEM WITH EXPONENTIALLY DOMINATED NONLINEARITY AND SINGULAR DATA ⋮ Blow-up in coupled solutions for a \(4\)-dimensional semilinear elliptic Kuramoto-Sivashinsky system ⋮ Construction of singular limits for a strongly perturbed four-dimensional Navier problem with exponentially dominated nonlinearity and nonlinear terms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Group representations arising from Lorentz conformal geometry
• Construction of singular limits for a strongly perturbed two-dimensional Dirichlet problem with exponential nonlinearity
• Construction of singular limits for a semilinear elliptic equation in dimension 2
• On the existence of blowing-up solutions for a mean field equation
• Singular limits in Liouville-type equations
• Singular limits for a 4-dimensional semilinear elliptic problem with exponential nonlinearity
• A Two-Dimensional Dirichlet Problem with an Exponential Nonlinearity
• On the Asymptotic Solution of a Partial Differential Equation with an Exponential Nonlinearity
• Une remarque sur le comportement asymptotique des solutions de -Δu=λƒ(u)
• Asymptotic behavior of a nonlinear fourth order eigenvalue problem
• Sharp Inequalities, the Functional Determinant, and the Complementary Series
• A Semilinear Fourth Order Elliptic Problem with Exponential Nonlinearity
• Singular limit solutions for two-dimensional elliptic problems with exponentially dominated nonlinearity

This page was built for publication: Construction of singular limits for four-dimensional elliptic problems with exponentially dominated nonlinearity